Use known Taylor Series to find the value for...

Question

Use known Taylor Series to find the value for:  (π is Pi character)

π/3 - π/3^3 * 3!  + π/3^5 * 5!  - π/3^7 * 7! + ......

Answer 1

sinx = x - x³/3! + x⁵/5! - x⁷/7! + ...

 

So, sin(π/3) = (π/3) - (π/3)³/3! + (π/3)⁵/5! - (π/3)⁷/7! + ...

 

                  = √3/2